{"id":"https://openalex.org/W2259821925","doi":"https://doi.org/10.3233/asy-151294","title":"Mathematical justification of macroscopic models for diffusion MRI through the periodic unfolding method","display_name":"Mathematical justification of macroscopic models for diffusion MRI through the periodic unfolding method","publication_year":2015,"publication_date":"2015-06-30","ids":{"openalex":"https://openalex.org/W2259821925","doi":"https://doi.org/10.3233/asy-151294","mag":"2259821925"},"language":"en","primary_location":{"id":"doi:10.3233/asy-151294","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-151294","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01180148","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084745896","display_name":"Julien Coatl\u00e9ven","orcid":"https://orcid.org/0000-0002-4877-2558"},"institutions":[{"id":"https://openalex.org/I265217849","display_name":"IFP \u00c9nergies nouvelles","ror":"https://ror.org/03gcbhc33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I265217849"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Julien Coatl\u00e9ven","raw_affiliation_strings":["IFPEN 1 et 4 Avenue de Bois-Pr\u00e9au, 92852 Rueil-Malmaison, France. E-mail:\u00a0julien.coatleven@ifpen.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IFPEN 1 et 4 Avenue de Bois-Pr\u00e9au, 92852 Rueil-Malmaison, France. E-mail:\u00a0julien.coatleven@ifpen.fr","institution_ids":["https://openalex.org/I265217849"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084745896"],"corresponding_institution_ids":["https://openalex.org/I265217849"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11611909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"93","issue":"3","first_page":"219","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.7941111326217651},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6294870376586914},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5935841798782349},{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.5534437894821167},{"id":"https://openalex.org/keywords/attenuation","display_name":"Attenuation","score":0.5449735522270203},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5207709670066833},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.42362266778945923},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4153939187526703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4083382785320282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.240056574344635},{"id":"https://openalex.org/keywords/magnetic-resonance-imaging","display_name":"Magnetic resonance imaging","score":0.2338162064552307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2211410403251648},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07055836915969849},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06750315427780151}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7941111326217651},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6294870376586914},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5935841798782349},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.5534437894821167},{"id":"https://openalex.org/C184652730","wikidata":"https://www.wikidata.org/wiki/Q2357982","display_name":"Attenuation","level":2,"score":0.5449735522270203},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5207709670066833},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.42362266778945923},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4153939187526703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4083382785320282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.240056574344635},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.2338162064552307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2211410403251648},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07055836915969849},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06750315427780151},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-151294","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-151294","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01180148v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01180148","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Asymptotic Analysis, 2015, 93 (3), pp.219-258. &#x27E8;10.3233/ASY-151294&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01180148v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01180148","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Asymptotic Analysis, 2015, 93 (3), pp.219-258. &#x27E8;10.3233/ASY-151294&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W166786860","https://openalex.org/W1547249381","https://openalex.org/W1965059925","https://openalex.org/W1972892940","https://openalex.org/W1981734795","https://openalex.org/W1988585624","https://openalex.org/W1998834227","https://openalex.org/W2006426323","https://openalex.org/W2016845091","https://openalex.org/W2027239222","https://openalex.org/W2043638110","https://openalex.org/W2059460892","https://openalex.org/W2070638884","https://openalex.org/W2080023218","https://openalex.org/W2103185525","https://openalex.org/W2140099191","https://openalex.org/W2152121803","https://openalex.org/W2213972894","https://openalex.org/W2864738940","https://openalex.org/W3042562017","https://openalex.org/W6606741409","https://openalex.org/W6650212309"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W1492688905","https://openalex.org/W2524071042","https://openalex.org/W2062605435","https://openalex.org/W2550220886","https://openalex.org/W2025913943"],"abstract_inverted_index":{"Diffusion":[0],"Magnetic":[1],"Resonance":[2],"Imaging":[3],"(dMRI)":[4],"is":[5],"a":[6],"promising":[7],"tool":[8],"to":[9,18,32],"obtain":[10],"useful":[11],"information":[12],"on":[13],"cellular":[14],"structure":[15],"when":[16],"applied":[17],"biological":[19],"tissues.":[20],"A":[21],"coupled":[22],"macroscopic":[23],"model":[24,33],"has":[25],"been":[26],"introduced":[27],"recently":[28],"through":[29],"formal":[30],"homogenization":[31],"dMR":[34]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
